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73972032484 = 2272194272
BaseRepresentation
bin100010011100100010…
…0111010001111100100
321001221020102121002211
41010321010322033210
52202443320014414
653552101213204
75226044621200
oct1047104721744
9231836377084
1073972032484
112940a313949
1212405101204
136c8b32622c
14381a369b00
151dce1ae3c4
hex113913a3e4

73972032484 has 27 divisors (see below), whose sum is σ = 150593675043. Its totient is φ = 31700667768.

The previous prime is 73972032479. The next prime is 73972032499. The reversal of 73972032484 is 48423027937.

It is a happy number.

The square root of 73972032484 is 271978.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3797979 + ... + 3817405.

Almost surely, 273972032484 is an apocalyptic number.

73972032484 is the 271978-th square number.

It is an amenable number.

73972032484 is an abundant number, since it is smaller than the sum of its proper divisors (76621642559).

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

73972032484 is an frugal number, since it uses more digits than its factorization.

73972032484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38872 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 73972032484 by its sum of digits (49), we get a square (3624629591716 = 19038462).

73972032484 divided by its sum of digits (49) gives a square (1509633316 = 388542).

The spelling of 73972032484 in words is "seventy-three billion, nine hundred seventy-two million, thirty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 19427 38854 77708 135989 271978 543956 951923 1903846 3807692 377408329 754816658 1509633316 2641858303 5283716606 10567433212 18493008121 36986016242 73972032484