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553124352 = 29311191723
BaseRepresentation
bin100000111110000…
…000001000000000
31102112210121222010
4200332000020000
52113044434402
6130515212520
716464323304
oct4076001000
91375717863
10553124352
11264251570
121352a7140
138a795621
1453663d04
153385da6c
hex20f80200

553124352 has 160 divisors (see below), whose sum is σ = 1693105920. Its totient is φ = 158699520.

The previous prime is 553124287. The next prime is 553124357. The reversal of 553124352 is 253421355.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (553124357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320163 + ... + 321885.

It is an arithmetic number, because the mean of its divisors is an integer number (10581912).

Almost surely, 2553124352 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 553124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846552960).

553124352 is an abundant number, since it is smaller than the sum of its proper divisors (1139981568).

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

553124352 is a wasteful number, since it uses less digits than its factorization.

553124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1758 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 553124352 is about 23518.5958764549. The cubic root of 553124352 is about 820.8697652057.

The spelling of 553124352 in words is "five hundred fifty-three million, one hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 512 528 608 627 704 768 836 912 1056 1216 1254 1408 1536 1672 1723 1824 2112 2432 2508 2816 3344 3446 3648 4224 4864 5016 5169 5632 6688 6892 7296 8448 9728 10032 10338 13376 13784 14592 16896 18953 20064 20676 26752 27568 29184 32737 37906 40128 41352 53504 55136 56859 65474 75812 80256 82704 98211 107008 110272 113718 130948 151624 160512 165408 196422 220544 227436 261896 303248 321024 330816 360107 392844 441088 454872 523792 606496 661632 720214 785688 882176 909744 1047584 1080321 1212992 1323264 1440428 1571376 1819488 2095168 2160642 2425984 2646528 2880856 3142752 3638976 4190336 4321284 4851968 5761712 6285504 7277952 8380672 8642568 9703936 11523424 12571008 14555904 16761344 17285136 23046848 25142016 29111808 34570272 46093696 50284032 69140544 92187392 138281088 184374784 276562176 553124352