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4132432656 = 24321124872
BaseRepresentation
bin1111011001001111…
…1110101100010000
3101122222220022220100
43312103332230100
531430400321111
61522020212400
7204256045422
oct36623765420
911588808810
104132432656
111830717900
12973b3a100
1350b1ac531
142b2b88812
15192bd4756
hexf64feb10

4132432656 has 135 divisors (see below), whose sum is σ = 12738177543. Its totient is φ = 1249680960.

The previous prime is 4132432637. The next prime is 4132432663. The reversal of 4132432656 is 6562342314.

The square root of 4132432656 is 64284.

It is a perfect power (a square), and thus also a powerful number.

4132432656 is a `hidden beast` number, since 4 + 1 + 324 + 326 + 5 + 6 = 666.

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 4132432656.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8485245 + ... + 8485731.

Almost surely, 24132432656 is an apocalyptic number.

4132432656 is the 64284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132432656

4132432656 is an abundant number, since it is smaller than the sum of its proper divisors (8605744887).

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

4132432656 is a wasteful number, since it uses less digits than its factorization.

4132432656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 503 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The cubic root of 4132432656 is about 1604.7298395252.

Multiplying 4132432656 by its sum of digits (36), we get a square (148767575616 = 3857042).

4132432656 divided by its sum of digits (36) gives a square (114789796 = 107142).

The spelling of 4132432656 in words is "four billion, one hundred thirty-two million, four hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 487 528 726 792 968 974 1089 1452 1461 1584 1936 1948 2178 2904 2922 3896 4356 4383 5357 5808 5844 7792 8712 8766 10714 11688 16071 17424 17532 21428 23376 32142 35064 42856 48213 58927 64284 70128 85712 96426 117854 128568 176781 192852 235708 237169 257136 353562 385704 471416 474338 530343 707124 711507 771408 942832 948676 1060686 1414248 1423014 1897352 2121372 2134521 2608859 2828496 2846028 3794704 4242744 4269042 5217718 5692056 7826577 8485488 8538084 10435436 11384112 15653154 17076168 20870872 23479731 28697449 31306308 34152336 41741744 46959462 57394898 62612616 86092347 93918924 114789796 125225232 172184694 187837848 229579592 258277041 344369388 375675696 459159184 516554082 688738776 1033108164 1377477552 2066216328 4132432656