Search a number
-
+
2500252776 = 233277696451
BaseRepresentation
bin1001010100000110…
…1101010001101000
320110020200000000200
42111001231101220
520110031042101
61052033032200
7115646540460
oct22501552150
96406600020
102500252776
111073366a0a
125993b5660
1330acba518
1419a0b8ba0
15e977a986
hex9506d468

2500252776 has 96 divisors (see below), whose sum is σ = 7750142400. Its totient is φ = 713318400.

The previous prime is 2500252771. The next prime is 2500252787. The reversal of 2500252776 is 6772520052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2500252776.

It is not an unprimeable number, because it can be changed into a prime (2500252771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384351 + ... + 390801.

It is an arithmetic number, because the mean of its divisors is an integer number (80730650).

Almost surely, 22500252776 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 2500252776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875071200).

2500252776 is an abundant number, since it is smaller than the sum of its proper divisors (5249889624).

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

2500252776 is a wasteful number, since it uses less digits than its factorization.

2500252776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2500252776 is about 50002.5276961075. The cubic root of 2500252776 is about 1357.2545493977.

The spelling of 2500252776 in words is "two billion, five hundred million, two hundred fifty-two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 769 1538 2307 3076 4614 5383 6152 6451 6921 9228 10766 12902 13842 16149 18456 19353 21532 25804 27684 32298 38706 43064 45157 48447 51608 55368 58059 64596 77412 90314 96894 116118 129192 135471 154824 180628 193788 232236 270942 361256 387576 406413 464472 541884 812826 1083768 1625652 3251304 4960819 9921638 14882457 19843276 29764914 34725733 39686552 44647371 59529828 69451466 89294742 104177199 119059656 138902932 178589484 208354398 277805864 312531597 357178968 416708796 625063194 833417592 1250126388 2500252776