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50924248400 = 2452192352661
BaseRepresentation
bin101111011011010100…
…100101110101010000
311212102222221212002002
4233123110211311100
51313243101422100
635221055213132
73451643653334
oct573324456520
9155388855062
1050924248400
111a662457603
129a525171a8
134a573a647c
14267139d7c4
1514d0ab12d5
hexbdb525d50

50924248400 has 90 divisors (see below), whose sum is σ = 129124017342. Its totient is φ = 19297555200.

The previous prime is 50924248393. The next prime is 50924248469. The reversal of 50924248400 is 484242905.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6092114704 + 44832133696 = 78052^2 + 211736^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31931 + ... + 320730.

Almost surely, 250924248400 is an apocalyptic number.

50924248400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50924248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64562008671).

50924248400 is an abundant number, since it is smaller than the sum of its proper divisors (78199768942).

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

50924248400 is a wasteful number, since it uses less digits than its factorization.

50924248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352717 (or 352687 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 50924248400 in words is "fifty billion, nine hundred twenty-four million, two hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 9025 14440 18050 28880 36100 72200 144400 352661 705322 1410644 1763305 2821288 3526610 5642576 6700559 7053220 8816525 13401118 14106440 17633050 26802236 28212880 33502795 35266100 53604472 67005590 70532200 107208944 127310621 134011180 141064400 167513975 254621242 268022360 335027950 509242484 536044720 636553105 670055900 1018484968 1273106210 1340111800 2036969936 2546212420 2680223600 3182765525 5092424840 6365531050 10184849680 12731062100 25462124200 50924248400