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427494528 = 27321919531
BaseRepresentation
bin11001011110110…
…000110010000000
31002210101222020200
4121132300302000
51333414311103
6110230405200
713410433506
oct3136606200
91083358220
10427494528
111aa344a6a
12bb200800
136a74a056
1440ac0676
15277e50a3
hex197b0c80

427494528 has 96 divisors (see below), whose sum is σ = 1294971600. Its totient is φ = 134991360.

The previous prime is 427494523. The next prime is 427494533. The reversal of 427494528 is 825494724.

It is an interprime number because it is at equal distance from previous prime (427494523) and next prime (427494533).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (427494521) 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, 12123 + ... + 31653.

Almost surely, 2427494528 is an apocalyptic number.

427494528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427494528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647485800).

427494528 is an abundant number, since it is smaller than the sum of its proper divisors (867477072).

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

427494528 is a wasteful number, since it uses less digits than its factorization.

427494528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19570 (or 19555 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 427494528 is about 20675.9408008439. The cubic root of 427494528 is about 753.3154131187.

The spelling of 427494528 in words is "four hundred twenty-seven million, four hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 19531 21888 39062 58593 78124 117186 156248 175779 234372 312496 351558 371089 468744 624992 703116 742178 937488 1113267 1249984 1406232 1484356 1874976 2226534 2499968 2812464 2968712 3339801 3749952 4453068 5624928 5937424 6679602 7499904 8906136 11249856 11874848 13359204 17812272 22499712 23749696 26718408 35624544 47499392 53436816 71249088 106873632 142498176 213747264 427494528