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1256342464 = 26135572711
BaseRepresentation
bin100101011100010…
…0100001111000000
310020120000210212101
41022320210033000
510033110424324
6324355440144
743063510006
oct11270441700
93216023771
101256342464
11595199763
122b08b6054
13170390710
14bcbd8a76
1575469944
hex4ae243c0

1256342464 has 56 divisors (see below), whose sum is σ = 2690640288. Its totient is φ = 578595840.

The previous prime is 1256342443. The next prime is 1256342473. The reversal of 1256342464 is 4642436521.

It is a super-5 number, since 5×12563424645 (a number of 47 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462069 + ... + 464779.

It is an arithmetic number, because the mean of its divisors is an integer number (48047148).

Almost surely, 21256342464 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 1256342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345320144).

1256342464 is an abundant number, since it is smaller than the sum of its proper divisors (1434297824).

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

1256342464 is a wasteful number, since it uses less digits than its factorization.

1256342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3283 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 1256342464 is about 35444.9215544343. The cubic root of 1256342464 is about 1079.0361954724.

Adding to 1256342464 its reverse (4642436521), we get a palindrome (5898778985).

The spelling of 1256342464 in words is "one billion, two hundred fifty-six million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 557 832 1114 2228 2711 4456 5422 7241 8912 10844 14482 17824 21688 28964 35243 35648 43376 57928 70486 86752 115856 140972 173504 231712 281944 463424 563888 1127776 1510027 2255552 3020054 6040108 12080216 19630351 24160432 39260702 48320864 78521404 96641728 157042808 314085616 628171232 1256342464