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191485296 = 2434712081
BaseRepresentation
bin10110110100111…
…01010101110000
3111100022110110000
423122131111300
5343010012141
631000110000
74513412112
oct1332352560
9440273400
10191485296
11990a7812
1254165300
1330895812
141b6073b2
1511c265b6
hexb69d570

191485296 has 100 divisors (see below), whose sum is σ = 562289904. Its totient is φ = 62899200.

The previous prime is 191485277. The next prime is 191485309. The reversal of 191485296 is 692584191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90976 + ... + 93056.

Almost surely, 2191485296 is an apocalyptic number.

191485296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191485296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281144952).

191485296 is an abundant number, since it is smaller than the sum of its proper divisors (370804608).

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

191485296 is a wasteful number, since it uses less digits than its factorization.

191485296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2157 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 191485296 is about 13837.8212157839. The cubic root of 191485296 is about 576.3838587149.

The spelling of 191485296 in words is "one hundred ninety-one million, four hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2081 2556 3408 3834 4162 5112 5751 6243 7668 8324 10224 11502 12486 15336 16648 18729 23004 24972 30672 33296 37458 46008 49944 56187 74916 92016 99888 112374 147751 149832 168561 224748 295502 299664 337122 443253 449496 591004 674244 886506 898992 1182008 1329759 1348488 1773012 2364016 2659518 2696976 3546024 3989277 5319036 7092048 7978554 10638072 11967831 15957108 21276144 23935662 31914216 47871324 63828432 95742648 191485296