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54570964 = 22719671531
BaseRepresentation
bin1101000000101…
…0111111010100
310210200111021211
43100022333110
5102432232324
65225351204
71231563010
oct320127724
9123614254
1054570964
1128892a78
1216338504
13b3c8b16
147367540
154bce294
hex340afd4

54570964 has 48 divisors (see below), whose sum is σ = 116677120. Its totient is φ = 21811680.

The previous prime is 54570949. The next prime is 54571009. The reversal of 54570964 is 46907545.

54570964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×545709642 = 5955980223778592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34879 + ... + 36409.

Almost surely, 254570964 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 54570964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58338560).

54570964 is an abundant number, since it is smaller than the sum of its proper divisors (62106156).

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

54570964 is a wasteful number, since it uses less digits than its factorization.

54570964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 54570964 is about 7387.2162551261. The cubic root of 54570964 is about 379.3038130343.

The spelling of 54570964 in words is "fifty-four million, five hundred seventy thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 67 76 133 134 266 268 469 532 938 1273 1531 1876 2546 3062 5092 6124 8911 10717 17822 21434 29089 35644 42868 58178 102577 116356 203623 205154 407246 410308 718039 814492 1436078 1948963 2872156 3897926 7795852 13642741 27285482 54570964