Search a number
-
+
5072760432 = 2434107157233
BaseRepresentation
bin1001011100101110…
…00010111001110000
3111002112021221010000
410232113002321300
540342111313212
62155210510000
7236464516005
oct45627027160
914075257100
105072760432
112173493aa3
12b96a35300
1362ac559bc
14361a018ac
151ea52a1dc
hex12e5c2e70

5072760432 has 200 divisors, whose sum is σ = 14977652976. Its totient is φ = 1657304064.

The previous prime is 5072760419. The next prime is 5072760449. The reversal of 5072760432 is 2340672705.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21771388 + ... + 21771620.

Almost surely, 25072760432 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 5072760432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488826488).

5072760432 is an abundant number, since it is smaller than the sum of its proper divisors (9904892544).

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

5072760432 is a wasteful number, since it uses less digits than its factorization.

5072760432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5072760432 is about 71223.3138234946. The cubic root of 5072760432 is about 1718.2306069565.

The spelling of 5072760432 in words is "five billion, seventy-two million, seven hundred sixty thousand, four hundred thirty-two".