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46940256 = 2533112449
BaseRepresentation
bin1011001100010…
…0000001100000
310021022210221000
42303010001200
544004042011
64354032000
71106662026
oct263040140
9107283830
1046940256
1124550a00
1213878600
1399567cc
14633c716
1541c3356
hex2cc4060

46940256 has 144 divisors (see below), whose sum is σ = 150822000. Its totient is φ = 14192640.

The previous prime is 46940249. The next prime is 46940261. The reversal of 46940256 is 65204964.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46940256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104320 + ... + 104768.

It is an arithmetic number, because the mean of its divisors is an integer number (1047375).

Almost surely, 246940256 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 46940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75411000).

46940256 is an abundant number, since it is smaller than the sum of its proper divisors (103881744).

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

46940256 is a wasteful number, since it uses less digits than its factorization.

46940256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 46940256 is about 6851.2959358066. The cubic root of 46940256 is about 360.7296313291.

The spelling of 46940256 in words is "forty-six million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 449 484 528 594 726 792 864 898 968 1056 1089 1188 1347 1452 1584 1796 1936 2178 2376 2694 2904 3168 3267 3592 3872 4041 4356 4752 4939 5388 5808 6534 7184 8082 8712 9504 9878 10776 11616 12123 13068 14368 14817 16164 17424 19756 21552 24246 26136 29634 32328 34848 39512 43104 44451 48492 52272 54329 59268 64656 79024 88902 96984 104544 108658 118536 129312 133353 158048 162987 177804 193968 217316 237072 266706 325974 355608 387936 434632 474144 488961 533412 651948 711216 869264 977922 1066824 1303896 1422432 1466883 1738528 1955844 2133648 2607792 2933766 3911688 4267296 5215584 5867532 7823376 11735064 15646752 23470128 46940256