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45162240 = 283519619
BaseRepresentation
bin1010110001000…
…1111100000000
310010222110221120
42230101330000
543030142430
64251552240
71055605224
oct254217400
9103873846
1045162240
1123547072
121315b680
139483426
145dd8784
153e71610
hex2b11f00

45162240 has 144 divisors (see below), whose sum is σ = 152073600. Its totient is φ = 11390976.

The previous prime is 45162233. The next prime is 45162241. The reversal of 45162240 is 4226154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45162240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45162241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72651 + ... + 73269.

Almost surely, 245162240 is an apocalyptic number.

45162240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76036800).

45162240 is an abundant number, since it is smaller than the sum of its proper divisors (106911360).

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

45162240 is a wasteful number, since it uses less digits than its factorization.

45162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45162240 is about 6720.2857082121. The cubic root of 45162240 is about 356.1162772972.

Adding to 45162240 its reverse (4226154), we get a palindrome (49388394).

The spelling of 45162240 in words is "forty-five million, one hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 619 640 760 768 912 960 1140 1216 1238 1280 1520 1824 1857 1920 2280 2432 2476 3040 3095 3648 3714 3840 4560 4864 4952 6080 6190 7296 7428 9120 9285 9904 11761 12160 12380 14592 14856 18240 18570 19808 23522 24320 24760 29712 35283 36480 37140 39616 47044 49520 58805 59424 70566 72960 74280 79232 94088 99040 117610 118848 141132 148560 158464 176415 188176 198080 235220 237696 282264 297120 352830 376352 396160 470440 475392 564528 594240 705660 752704 792320 940880 1129056 1188480 1411320 1505408 1881760 2258112 2376960 2822640 3010816 3763520 4516224 5645280 7527040 9032448 11290560 15054080 22581120 45162240