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3894758464 = 262922692
BaseRepresentation
bin1110100000100101…
…0100110001000000
3101001102200020012111
43220021110301000
530434024232324
61442250105104
7165341620642
oct35011246100
911042606174
103894758464
111719542753
1290841b194
134a0b9420c
1428d39a892
1517bdd7794
hexe8254c40

3894758464 has 63 divisors (see below), whose sum is σ = 8034223327. Its totient is φ = 1873238528.

The previous prime is 3894758443. The next prime is 3894758471. The reversal of 3894758464 is 4648574983.

It is a happy number.

The square root of 3894758464 is 62408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 900480064 + 2994278400 = 30008^2 + 54720^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3894758399 and 3894758408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14478522 + ... + 14478790.

Almost surely, 23894758464 is an apocalyptic number.

3894758464 is the 62408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3894758464

3894758464 is an abundant number, since it is smaller than the sum of its proper divisors (4139464863).

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

3894758464 is an frugal number, since it uses more digits than its factorization.

3894758464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 300 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 58.

The cubic root of 3894758464 is about 1573.3554298023.

The spelling of 3894758464 in words is "three billion, eight hundred ninety-four million, seven hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 269 464 538 841 928 1076 1682 1856 2152 3364 4304 6728 7801 8608 13456 15602 17216 26912 31204 53824 62408 72361 124816 144722 226229 249632 289444 452458 499264 578888 904916 1157776 1809832 2098469 2315552 3619664 4196938 4631104 7239328 8393876 14478656 16787752 33575504 60855601 67151008 121711202 134302016 243422404 486844808 973689616 1947379232 3894758464