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427712502 = 23747389557
BaseRepresentation
bin11001011111100…
…101111111110110
31002210211001020210
4121133211333312
51333443300002
6110235210250
713412332140
oct3137457766
91083731223
10427712502
111aa483808
12bb2a6986
136a7c5329
1440b39c90
152783996c
hex197e5ff6

427712502 has 64 divisors (see below), whose sum is σ = 1002792960. Its totient is φ = 119081856.

The previous prime is 427712501. The next prime is 427712521. The reversal of 427712502 is 205217724.

It is a self number, because there is not a number n which added to its sum of digits gives 427712502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427712501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767608 + ... + 768164.

It is an arithmetic number, because the mean of its divisors is an integer number (15668640).

Almost surely, 2427712502 is an apocalyptic number.

427712502 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 427712502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501396480).

427712502 is an abundant number, since it is smaller than the sum of its proper divisors (575080458).

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

427712502 is a wasteful number, since it uses less digits than its factorization.

427712502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 427712502 is about 20681.2113281597. The cubic root of 427712502 is about 753.4434266663.

The spelling of 427712502 in words is "four hundred twenty-seven million, seven hundred twelve thousand, five hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 389 557 658 778 987 1114 1167 1671 1974 2334 2723 3342 3899 5446 7798 8169 11697 16338 18283 23394 26179 36566 52358 54849 78537 109698 127981 157074 183253 216673 255962 366506 383943 433346 549759 650019 767886 1099518 1300038 1516711 3033422 4550133 9100266 10183631 20367262 30550893 61101786 71285417 142570834 213856251 427712502