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537233472 = 2634313343
BaseRepresentation
bin100000000001011…
…000100001000000
31101102220021210000
4200001120201000
52100012432342
6125150440000
716212260226
oct4001304100
91342807700
10537233472
11256288506
1212bb03000
13873c0639
14514c8b16
153227044c
hex20058840

537233472 has 140 divisors (see below), whose sum is σ = 1644391936. Its totient is φ = 173249280.

The previous prime is 537233461. The next prime is 537233479. The reversal of 537233472 is 274332735.

537233472 is a `hidden beast` number, since 537 + 23 + 34 + 72 = 666.

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 (537233479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159033 + ... + 162375.

Almost surely, 2537233472 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 537233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822195968).

537233472 is an abundant number, since it is smaller than the sum of its proper divisors (1107158464).

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

537233472 is a wasteful number, since it uses less digits than its factorization.

537233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3379 counting only the distinct ones).

The product of its digits is 105840, while the sum is 36.

The square root of 537233472 is about 23178.2974353165. The cubic root of 537233472 is about 812.9322529025.

The spelling of 537233472 in words is "five hundred thirty-seven million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3343 3348 4464 5022 5184 5952 6686 6696 8928 10029 10044 13372 13392 17856 20058 20088 26744 26784 30087 40116 40176 53488 53568 60174 80232 80352 90261 103633 106976 120348 160464 160704 180522 207266 213952 240696 270783 310899 320928 361044 414532 481392 541566 621798 641856 722088 829064 932697 962784 1083132 1243596 1444176 1658128 1865394 1925568 2166264 2487192 2798091 2888352 3316256 3730788 4332528 4974384 5596182 5776704 6632512 7461576 8394273 8665056 9948768 11192364 14923152 16788546 17330112 19897536 22384728 29846304 33577092 44769456 59692608 67154184 89538912 134308368 179077824 268616736 537233472