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5101376 = 26759193
BaseRepresentation
bin10011011101011101000000
3100121011202212
4103131131000
52301221001
6301201252
761234550
oct23353500
910534685
105101376
112974815
121860228
131097c87
1496b160
156ab7bb
hex4dd740

5101376 has 56 divisors (see below), whose sum is σ = 11826240. Its totient is φ = 2138112.

The previous prime is 5101373. The next prime is 5101379. The reversal of 5101376 is 6731015.

It is an interprime number because it is at equal distance from previous prime (5101373) and next prime (5101379).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26336 + ... + 26528.

Almost surely, 25101376 is an apocalyptic number.

5101376 is a gapful number since it is divisible by the number (56) 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 5101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913120).

5101376 is an abundant number, since it is smaller than the sum of its proper divisors (6724864).

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

5101376 is a wasteful number, since it uses less digits than its factorization.

5101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 5101376 is about 2258.6225891016. The cubic root of 5101376 is about 172.1455411359.

The spelling of 5101376 in words is "five million, one hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 193 224 236 386 413 448 472 772 826 944 1351 1544 1652 1888 2702 3088 3304 3776 5404 6176 6608 10808 11387 12352 13216 21616 22774 26432 43232 45548 79709 86464 91096 159418 182192 318836 364384 637672 728768 1275344 2550688 5101376