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80434524 = 223191312693
BaseRepresentation
bin1001100101101…
…01010101011100
312121100111102110
410302311111130
5131042401044
611551554020
71664452662
oct462652534
9177314373
1080434524
1141448715
1222b2b910
13138830c1
14a97ac32
1570dc6b9
hex4cb555c

80434524 has 48 divisors (see below), whose sum is σ = 199140480. Its totient is φ = 25197120.

The previous prime is 80434517. The next prime is 80434537. The reversal of 80434524 is 42543408.

It is a super-2 number, since 2×804345242 = 12939425302213152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80434491 and 80434500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28522 + ... + 31214.

It is an arithmetic number, because the mean of its divisors is an integer number (4148760).

Almost surely, 280434524 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 80434524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99570240).

80434524 is an abundant number, since it is smaller than the sum of its proper divisors (118705956).

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

80434524 is a wasteful number, since it uses less digits than its factorization.

80434524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 80434524 is about 8968.5296453767. The cubic root of 80434524 is about 431.6656578011.

The spelling of 80434524 in words is "eighty million, four hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 131 228 262 393 524 786 1572 2489 2693 4978 5386 7467 8079 9956 10772 14934 16158 29868 32316 51167 102334 153501 204668 307002 352783 614004 705566 1058349 1411132 2116698 4233396 6702877 13405754 20108631 26811508 40217262 80434524