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45194976 = 2533172181
BaseRepresentation
bin1010110001100…
…1111011100000
310011001010212000
42230121323200
543032214401
64252404000
71056102531
oct254317340
9104033760
1045194976
1123569722
1213176600
1394952b8
146006688
153e7b186
hex2b19ee0

45194976 has 144 divisors (see below), whose sum is σ = 140802480. Its totient is φ = 14100480.

The previous prime is 45194951. The next prime is 45195011. The reversal of 45194976 is 67949154.

45194976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249606 + ... + 249786.

It is an arithmetic number, because the mean of its divisors is an integer number (977795).

Almost surely, 245194976 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 45194976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70401240).

45194976 is an abundant number, since it is smaller than the sum of its proper divisors (95607504).

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

45194976 is a wasteful number, since it uses less digits than its factorization.

45194976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 45194976 is about 6722.7208777399. The cubic root of 45194976 is about 356.2023005389.

The spelling of 45194976 in words is "forty-five million, one hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 181 204 216 272 288 289 306 362 408 432 459 543 544 578 612 724 816 864 867 918 1086 1156 1224 1448 1629 1632 1734 1836 2172 2312 2448 2601 2896 3077 3258 3468 3672 4344 4624 4887 4896 5202 5792 6154 6516 6936 7344 7803 8688 9231 9248 9774 10404 12308 13032 13872 14688 15606 17376 18462 19548 20808 24616 26064 27693 27744 31212 36924 39096 41616 49232 52128 52309 55386 62424 73848 78192 83079 83232 98464 104618 110772 124848 147696 156384 156927 166158 209236 221544 249696 295392 313854 332316 418472 443088 470781 627708 664632 836944 886176 941562 1255416 1329264 1412343 1673888 1883124 2510832 2658528 2824686 3766248 5021664 5649372 7532496 11298744 15064992 22597488 45194976