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2501009328 = 243237433049
BaseRepresentation
bin1001010100010010…
…0101111110110000
320110022002102211010
42111010211332300
520110224244303
61052101150520
7115656141246
oct22504457660
96408072733
102501009328
111073833364
125996bb440
1330b1c399c
1419a234796
15e9879c03
hex95125fb0

2501009328 has 80 divisors (see below), whose sum is σ = 6753139200. Its totient is φ = 796088832.

The previous prime is 2501009327. The next prime is 2501009393. The reversal of 2501009328 is 8239001052.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2501009295 and 2501009304.

It is not an unprimeable number, because it can be changed into a prime (2501009327) 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, 818748 + ... + 821796.

It is an arithmetic number, because the mean of its divisors is an integer number (84414240).

Almost surely, 22501009328 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 2501009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376569600).

2501009328 is an abundant number, since it is smaller than the sum of its proper divisors (4252129872).

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

2501009328 is a wasteful number, since it uses less digits than its factorization.

2501009328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2501009328 is about 50010.0922614626. The cubic root of 2501009328 is about 1357.3914329028.

The spelling of 2501009328 in words is "two billion, five hundred one million, nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 743 1104 1486 2229 2972 3049 4458 5944 6098 8916 9147 11888 12196 17089 17832 18294 24392 34178 35664 36588 48784 51267 68356 70127 73176 102534 136712 140254 146352 205068 210381 273424 280508 410136 420762 561016 820272 841524 1122032 1683048 2265407 3366096 4530814 6796221 9061628 13592442 18123256 27184884 36246512 52104361 54369768 104208722 108739536 156313083 208417444 312626166 416834888 625252332 833669776 1250504664 2501009328