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4690761376 = 25728933613
BaseRepresentation
bin1000101111001011…
…10101011010100000
3110002220111100220211
410113211311122200
534101313331001
62053243143504
7224145546100
oct42745653240
913086440824
104690761376
111a978a34a4
12aaab14b94
13599a77962
14326da5200
151c6c20351
hex1179756a0

4690761376 has 72 divisors (see below), whose sum is σ = 10863708660. Its totient is φ = 1987679232.

The previous prime is 4690761349. The next prime is 4690761379. The reversal of 4690761376 is 6731670964.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4267224976 + 423536400 = 65324^2 + 20580^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (4690761379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122746 + ... + 156358.

Almost surely, 24690761376 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 4690761376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431854330).

4690761376 is an abundant number, since it is smaller than the sum of its proper divisors (6172947284).

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

4690761376 is a wasteful number, since it uses less digits than its factorization.

4690761376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33726 (or 33711 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The square root of 4690761376 is about 68489.1332694465. The cubic root of 4690761376 is about 1673.9704225668.

The spelling of 4690761376 in words is "four billion, six hundred ninety million, seven hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 89 98 112 178 196 224 356 392 623 712 784 1246 1424 1568 2492 2848 4361 4984 8722 9968 17444 19936 33613 34888 67226 69776 134452 139552 235291 268904 470582 537808 941164 1075616 1647037 1882328 2991557 3294074 3764656 5983114 6588148 7529312 11966228 13176296 20940899 23932456 26352592 41881798 47864912 52705184 83763596 95729824 146586293 167527192 293172586 335054384 586345172 670108768 1172690344 2345380688 4690761376