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16913952 = 25321119281
BaseRepresentation
bin100000010000…
…1011000100000
31011211022120200
41000201120200
513312221302
61402305200
7263523546
oct100413040
934738520
1016913952
119602780
1257b8200
133672873
142363d96
15174181c
hex1021620

16913952 has 144 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 4838400.

The previous prime is 16913951. The next prime is 16913977. The reversal of 16913952 is 25931961.

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 not an unprimeable number, because it can be changed into a prime (16913951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60052 + ... + 60332.

It is an arithmetic number, because the mean of its divisors is an integer number (384930).

Almost surely, 216913952 is an apocalyptic number.

16913952 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 16913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714960).

16913952 is an abundant number, since it is smaller than the sum of its proper divisors (38515968).

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

16913952 is a wasteful number, since it uses less digits than its factorization.

16913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 16913952 is about 4112.6575349766. The cubic root of 16913952 is about 256.6935943713.

Subtracting 16913952 from its reverse (25931961), we obtain a square (9018009 = 30032).

The spelling of 16913952 in words is "sixteen million, nine hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 281 288 304 342 352 396 418 456 528 562 608 627 684 792 836 843 912 1056 1124 1254 1368 1584 1672 1686 1824 1881 2248 2508 2529 2736 3091 3168 3344 3372 3762 4496 5016 5058 5339 5472 6182 6688 6744 7524 8992 9273 10032 10116 10678 12364 13488 15048 16017 18546 20064 20232 21356 24728 26976 27819 30096 32034 37092 40464 42712 48051 49456 55638 58729 60192 64068 74184 80928 85424 96102 98912 111276 117458 128136 148368 170848 176187 192204 222552 234916 256272 296736 352374 384408 445104 469832 512544 528561 704748 768816 890208 939664 1057122 1409496 1537632 1879328 2114244 2818992 4228488 5637984 8456976 16913952