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1972019296 = 251310494519
BaseRepresentation
bin111010110001010…
…1010000001100000
312002102200221220201
41311202222001200
513014314104141
6523403114544
766603613252
oct16542520140
95072627821
101972019296
11922176315
12470512a54
1325572b530
14149c93cd2
15b81d7031
hex758aa060

1972019296 has 48 divisors (see below), whose sum is σ = 4185972000. Its totient is φ = 909093888.

The previous prime is 1972019263. The next prime is 1972019317. The reversal of 1972019296 is 6929102791.

It is a happy number.

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, 434125 + ... + 438643.

It is an arithmetic number, because the mean of its divisors is an integer number (87207750).

Almost surely, 21972019296 is an apocalyptic number.

1972019296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1972019296 is an abundant number, since it is smaller than the sum of its proper divisors (2213952704).

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

1972019296 is a wasteful number, since it uses less digits than its factorization.

1972019296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The square root of 1972019296 is about 44407.4238838508. The cubic root of 1972019296 is about 1254.0178547840.

The spelling of 1972019296 in words is "one billion, nine hundred seventy-two million, nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1049 2098 4196 4519 8392 9038 13637 16784 18076 27274 33568 36152 54548 58747 72304 109096 117494 144608 218192 234988 436384 469976 939952 1879904 4740431 9480862 18961724 37923448 61625603 75846896 123251206 151693792 246502412 493004824 986009648 1972019296