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2952264140 = 225757136931
BaseRepresentation
bin1010111111110111…
…1111100111001100
321121202012120001022
42233331333213030
522021234423030
61204541133312
7133105555040
oct25775774714
97552176038
102952264140
111285526821
126a485a238
1338083c877
1420013c020
151242b4de5
hexaff7f9cc

2952264140 has 48 divisors (see below), whose sum is σ = 7098034944. Its totient is φ = 1010404800.

The previous prime is 2952264127. The next prime is 2952264167. The reversal of 2952264140 is 414622592.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2952264140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61475 + ... + 98405.

It is an arithmetic number, because the mean of its divisors is an integer number (147875728).

Almost surely, 22952264140 is an apocalyptic number.

2952264140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2952264140 is an abundant number, since it is smaller than the sum of its proper divisors (4145770804).

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

2952264140 is a wasteful number, since it uses less digits than its factorization.

2952264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37518 (or 37516 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2952264140 is about 54334.7415563928. The cubic root of 2952264140 is about 1434.5589647742.

The spelling of 2952264140 in words is "two billion, nine hundred fifty-two million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 571 1142 2284 2855 3997 5710 7994 11420 15988 19985 36931 39970 73862 79940 147724 184655 258517 369310 517034 738620 1034068 1292585 2585170 5170340 21087601 42175202 84350404 105438005 147613207 210876010 295226414 421752020 590452828 738066035 1476132070 2952264140