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1157132952 = 233766137
BaseRepresentation
bin100010011111000…
…0111001010011000
32222122100110000000
41010332013022120
54332211223302
6310453213000
740450316313
oct10476071230
92878313000
101157132952
11544198128
12283631160
13155965971
14ad97197a
156b8be31c
hex44f87298

1157132952 has 64 divisors (see below), whose sum is σ = 3253989600. Its totient is φ = 385705152.

The previous prime is 1157132917. The next prime is 1157132959. The reversal of 1157132952 is 2592317511.

1157132952 is a `hidden beast` number, since 1 + 1 + 571 + 32 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157132959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15573 + ... + 50564.

Almost surely, 21157132952 is an apocalyptic number.

1157132952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1157132952 is an abundant number, since it is smaller than the sum of its proper divisors (2096856648).

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

1157132952 is an frugal number, since it uses more digits than its factorization.

1157132952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66164 (or 66142 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1157132952 is about 34016.6569786039. The cubic root of 1157132952 is about 1049.8512115703.

The spelling of 1157132952 in words is "one billion, one hundred fifty-seven million, one hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 66137 132274 198411 264548 396822 529096 595233 793644 1190466 1587288 1785699 2380932 3571398 4761864 5357097 7142796 10714194 14285592 16071291 21428388 32142582 42856776 48213873 64285164 96427746 128570328 144641619 192855492 289283238 385710984 578566476 1157132952