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52457472 = 212321423
BaseRepresentation
bin1100100000011…
…1000000000000
310122201010010100
43020013000000
5101412114342
65112202400
71204611144
oct310070000
9118633110
1052457472
112767a091
1215699400
13ab38b32
146d77224
154912e4c
hex3207000

52457472 has 78 divisors (see below), whose sum is σ = 151631792. Its totient is φ = 17473536.

The previous prime is 52457413. The next prime is 52457473. The reversal of 52457472 is 27475425.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52457473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36153 + ... + 37575.

Almost surely, 252457472 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 52457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75815896).

52457472 is an abundant number, since it is smaller than the sum of its proper divisors (99174320).

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

52457472 is a wasteful number, since it uses less digits than its factorization.

52457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1428 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 52457472 is about 7242.7530677222. The cubic root of 52457472 is about 374.3424851384.

The spelling of 52457472 in words is "fifty-two million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1423 1536 2048 2304 2846 3072 4096 4269 4608 5692 6144 8538 9216 11384 12288 12807 17076 18432 22768 25614 34152 36864 45536 51228 68304 91072 102456 136608 182144 204912 273216 364288 409824 546432 728576 819648 1092864 1457152 1639296 2185728 2914304 3278592 4371456 5828608 6557184 8742912 13114368 17485824 26228736 52457472