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45071352 = 233217231601
BaseRepresentation
bin1010101111101…
…1101111111000
310010210212021100
42223323233320
543014240402
64250011400
71055046234
oct253735770
9103725240
1045071352
1123494857
1213116b60
139450c51
145db35c4
153e5471c
hex2afbbf8

45071352 has 96 divisors (see below), whose sum is σ = 134952480. Its totient is φ = 13516800.

The previous prime is 45071333. The next prime is 45071371. The reversal of 45071352 is 25317054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45071333) and next prime (45071371).

It is a super-2 number, since 2×450713522 = 4062853542215808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27352 + ... + 28952.

It is an arithmetic number, because the mean of its divisors is an integer number (1405755).

Almost surely, 245071352 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 45071352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67476240).

45071352 is an abundant number, since it is smaller than the sum of its proper divisors (89881128).

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

45071352 is a wasteful number, since it uses less digits than its factorization.

45071352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45071352 is about 6713.5200900869. The cubic root of 45071352 is about 355.8772248430.

The spelling of 45071352 in words is "forty-five million, seventy-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1601 1656 2346 3128 3202 3519 4692 4803 6404 7038 9384 9606 12808 14076 14409 19212 27217 28152 28818 36823 38424 54434 57636 73646 81651 108868 110469 115272 147292 163302 217736 220938 244953 294584 326604 331407 441876 489906 625991 653208 662814 883752 979812 1251982 1325628 1877973 1959624 2503964 2651256 3755946 5007928 5633919 7511892 11267838 15023784 22535676 45071352