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1157191072 = 25591913209
BaseRepresentation
bin100010011111001…
…0101010110100000
32222122110101201121
41010332111112200
54332220103242
6310454342024
740450650622
oct10476252640
92878411647
101157191072
11544227864
1228365a914
1315598625b
14ad988c12
156b8d1667
hex44f955a0

1157191072 has 48 divisors (see below), whose sum is σ = 2329689600. Its totient is φ = 565634560.

The previous prime is 1157191069. The next prime is 1157191099. The reversal of 1157191072 is 2701917511.

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, 359004 + ... + 362212.

It is an arithmetic number, because the mean of its divisors is an integer number (48535200).

Almost surely, 21157191072 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 1157191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164844800).

1157191072 is an abundant number, since it is smaller than the sum of its proper divisors (1172498528).

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

1157191072 is a wasteful number, since it uses less digits than its factorization.

1157191072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 34.

The square root of 1157191072 is about 34017.5112552344. The cubic root of 1157191072 is about 1049.8687884415.

The spelling of 1157191072 in words is "one billion, one hundred fifty-seven million, one hundred ninety-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 59 118 191 236 382 472 764 944 1528 1888 3056 3209 6112 6418 11269 12836 22538 25672 45076 51344 90152 102688 180304 189331 360608 378662 612919 757324 1225838 1514648 2451676 3029296 4903352 6058592 9806704 19613408 36162221 72324442 144648884 289297768 578595536 1157191072