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3752438016 = 28317972963
BaseRepresentation
bin1101111110101001…
…1010100100000000
3100200111212121020210
43133222122210000
530141111004031
61420203434120
7161663124345
oct33752324400
910614777223
103752438016
111656176248
12888825940
1347a553932
142785107cc
1516e673746
hexdfa9a900

3752438016 has 144 divisors (see below), whose sum is σ = 10687045824. Its totient is φ = 1164705792.

The previous prime is 3752437963. The next prime is 3752438071. The reversal of 3752438016 is 6108342573.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264951 + ... + 1267913.

It is an arithmetic number, because the mean of its divisors is an integer number (74215596).

Almost surely, 23752438016 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 3752438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

3752438016 is an abundant number, since it is smaller than the sum of its proper divisors (6934607808).

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

3752438016 is a wasteful number, since it uses less digits than its factorization.

3752438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3752438016 is about 61257.1466524519. The cubic root of 3752438016 is about 1553.9528681527.

The spelling of 3752438016 in words is "three billion, seven hundred fifty-two million, four hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 128 136 192 194 204 256 272 291 384 388 408 544 582 768 776 816 1088 1164 1552 1632 1649 2176 2328 2963 3104 3264 3298 4352 4656 4947 5926 6208 6528 6596 8889 9312 9894 11852 12416 13056 13192 17778 18624 19788 23704 24832 26384 35556 37248 39576 47408 50371 52768 71112 74496 79152 94816 100742 105536 142224 151113 158304 189632 201484 211072 284448 287411 302226 316608 379264 402968 422144 568896 574822 604452 633216 758528 805936 862233 1137792 1149644 1208904 1266432 1611872 1724466 2275584 2299288 2417808 3223744 3448932 4598576 4835616 4885987 6447488 6897864 9197152 9671232 9771974 12894976 13795728 14657961 18394304 19342464 19543948 27591456 29315922 36788608 38684928 39087896 55182912 58631844 73577216 78175792 110365824 117263688 156351584 220731648 234527376 312703168 469054752 625406336 938109504 1250812672 1876219008 3752438016