[go: up one dir, main page]

Search a number
-
+
2428200768 = 26371806697
BaseRepresentation
bin1001000010111011…
…0110011101000000
320021020002101020210
42100232312131000
514433104411033
61040540434120
7114113236350
oct22056663500
96236071223
102428200768
1110367241a4
12579248940
132c90b09b6
141906c0b60
15e3296d63
hex90bb6740

2428200768 has 56 divisors (see below), whose sum is σ = 7342420672. Its totient is φ = 693771264.

The previous prime is 2428200727. The next prime is 2428200787. The reversal of 2428200768 is 8670028242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902005 + ... + 904692.

Almost surely, 22428200768 is an apocalyptic number.

2428200768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2428200768 is an abundant number, since it is smaller than the sum of its proper divisors (4914219904).

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

2428200768 is a wasteful number, since it uses less digits than its factorization.

2428200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806719 (or 1806709 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2428200768 is about 49276.7771673432. Note that the first 3 decimals coincide. The cubic root of 2428200768 is about 1344.0895277663.

The spelling of 2428200768 in words is "two billion, four hundred twenty-eight million, two hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1806697 3613394 5420091 7226788 10840182 12646879 14453576 21680364 25293758 28907152 37940637 43360728 50587516 57814304 75881274 86721456 101175032 115628608 151762548 173442912 202350064 303525096 346885824 404700128 607050192 809400256 1214100384 2428200768