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2502955672 = 237247731861
BaseRepresentation
bin1001010100110000…
…0001001010011000
320110102202022200221
42111030001022120
520111224040142
61052211005424
7116011525600
oct22514011230
96412668627
102502955672
111074942708
1259a299874
1330b725879
1419a5bdc00
15e9b11767
hex95301298

2502955672 has 96 divisors (see below), whose sum is σ = 5654819520. Its totient is φ = 1034933760.

The previous prime is 2502955669. The next prime is 2502955681. The reversal of 2502955672 is 2765592052.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1344022 + ... + 1345882.

It is an arithmetic number, because the mean of its divisors is an integer number (58904370).

Almost surely, 22502955672 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 2502955672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827409760).

2502955672 is an abundant number, since it is smaller than the sum of its proper divisors (3151863848).

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

2502955672 is a wasteful number, since it uses less digits than its factorization.

2502955672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The square root of 2502955672 is about 50029.5479891634. The cubic root of 2502955672 is about 1357.7434595287.

The spelling of 2502955672 in words is "two billion, five hundred two million, nine hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 47 49 56 73 94 98 146 188 196 292 329 376 392 511 584 658 1022 1316 1861 2044 2303 2632 3431 3577 3722 4088 4606 6862 7154 7444 9212 13027 13724 14308 14888 18424 24017 26054 27448 28616 48034 52108 87467 91189 96068 104216 135853 168119 174934 182378 192136 271706 336238 349868 364756 543412 612269 672476 699736 729512 950971 1086824 1224538 1344952 1901942 2449076 3803884 4285883 4898152 6385091 6656797 7607768 8571766 12770182 13313594 17143532 25540364 26627188 34287064 44695637 51080728 53254376 89391274 178782548 312869459 357565096 625738918 1251477836 2502955672