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4045542408 = 233431375443
BaseRepresentation
bin1111000100100010…
…0001010000001000
3101102221101211220000
43301020201100020
531241124324113
61505234003000
7202152354165
oct36110412010
911387354800
104045542408
11179666a986
1294aa16460
134c61a8b9b
142a540b06c
1518a26e373
hexf1221408

4045542408 has 160 divisors (see below), whose sum is σ = 12015125760. Its totient is φ = 1269509760.

The previous prime is 4045542407. The next prime is 4045542409. The reversal of 4045542408 is 8042455404.

4045542408 is a `hidden beast` number, since 404 + 5 + 5 + 4 + 240 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4045542407) and next prime (4045542409).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4045542407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 740535 + ... + 745977.

It is an arithmetic number, because the mean of its divisors is an integer number (75094536).

Almost surely, 24045542408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045542408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007562880).

4045542408 is an abundant number, since it is smaller than the sum of its proper divisors (7969583352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4045542408 is a wasteful number, since it uses less digits than its factorization.

4045542408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4045542408 is about 63604.5785144434. The cubic root of 4045542408 is about 1593.4028368266.

The spelling of 4045542408 in words is "four billion, forty-five million, five hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 37 54 62 72 74 81 93 108 111 124 148 162 186 216 222 248 279 296 324 333 372 444 558 648 666 744 837 888 999 1116 1147 1332 1674 1998 2232 2294 2511 2664 2997 3348 3441 3996 4588 5022 5443 5994 6696 6882 7992 9176 10044 10323 10886 11988 13764 16329 20088 20646 21772 23976 27528 30969 32658 41292 43544 48987 61938 65316 82584 92907 97974 123876 130632 146961 168733 185814 195948 201391 247752 293922 337466 371628 391896 402782 440883 506199 587844 604173 674932 743256 805564 881766 1012398 1175688 1208346 1349864 1518597 1611128 1763532 1812519 2024796 2416692 3037194 3527064 3625038 4049592 4555791 4833384 5437557 6074388 6243121 7250076 9111582 10875114 12148776 12486242 13667373 14500152 16312671 18223164 18729363 21750228 24972484 27334746 32625342 36446328 37458726 43500456 49944968 54669492 56188089 65250684 74917452 109338984 112376178 130501368 149834904 168564267 224752356 337128534 449504712 505692801 674257068 1011385602 1348514136 2022771204 4045542408