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104949432 = 23347171361
BaseRepresentation
bin1100100000101…
…10011010111000
321022110222120000
412100112122320
5203331340212
614225233000
72413025010
oct620263270
9238428500
10104949432
1154272075
122b192760
1318987573
14dd1cc40
1593311dc
hex64166b8

104949432 has 160 divisors (see below), whose sum is σ = 355972320. Its totient is φ = 28200960.

The previous prime is 104949421. The next prime is 104949457. The reversal of 104949432 is 234949401.

It is a super-2 number, since 2×1049494322 = 22028766554245248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76432 + ... + 77792.

It is an arithmetic number, because the mean of its divisors is an integer number (2224827).

Almost surely, 2104949432 is an apocalyptic number.

104949432 is a gapful number since it is divisible by the number (12) 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 104949432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177986160).

104949432 is an abundant number, since it is smaller than the sum of its proper divisors (251022888).

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

104949432 is a wasteful number, since it uses less digits than its factorization.

104949432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 104949432 is about 10244.4830030607. The cubic root of 104949432 is about 471.6936511564.

The spelling of 104949432 in words is "one hundred four million, nine hundred forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 918 952 1071 1134 1224 1361 1377 1428 1512 1836 2142 2268 2722 2754 2856 3213 3672 4083 4284 4536 5444 5508 6426 8166 8568 9527 9639 10888 11016 12249 12852 16332 19054 19278 23137 24498 25704 28581 32664 36747 38108 38556 46274 48996 57162 69411 73494 76216 77112 85743 92548 97992 110241 114324 138822 146988 161959 171486 185096 208233 220482 228648 257229 277644 293976 323918 342972 416466 440964 485877 514458 555288 624699 647836 685944 771687 832932 881928 971754 1028916 1249398 1295672 1457631 1543374 1665864 1874097 1943508 2057832 2498796 2915262 3086748 3748194 3887016 4372893 4997592 5830524 6173496 7496388 8745786 11661048 13118679 14992776 17491572 26237358 34983144 52474716 104949432