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1038280056 = 2331124116319
BaseRepresentation
bin111101111000101…
…110010101111000
32200100201002110220
4331320232111320
54111244430211
6251005540040
734505143362
oct7570562570
92610632426
101038280056
1149309a1a0
1224b874620
13137150bc8
149bc73d32
1561243806
hex3de2e578

1038280056 has 64 divisors (see below), whose sum is σ = 2843596800. Its totient is φ = 313305600.

The previous prime is 1038280043. The next prime is 1038280057. The reversal of 1038280056 is 6500828301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1038279999 and 1038280026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038280057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55465 + ... + 71783.

It is an arithmetic number, because the mean of its divisors is an integer number (44431200).

Almost surely, 21038280056 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 1038280056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

1038280056 is an abundant number, since it is smaller than the sum of its proper divisors (1805316744).

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

1038280056 is a wasteful number, since it uses less digits than its factorization.

1038280056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16580 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1038280056 is about 32222.3533591201. The cubic root of 1038280056 is about 1012.6005772363.

The spelling of 1038280056 in words is "one billion, thirty-eight million, two hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 964 1446 1928 2651 2892 5302 5784 7953 10604 15906 16319 21208 31812 32638 48957 63624 65276 97914 130552 179509 195828 359018 391656 538527 718036 1077054 1436072 2154108 3932879 4308216 7865758 11798637 15731516 23597274 31463032 43261669 47194548 86523338 94389096 129785007 173046676 259570014 346093352 519140028 1038280056