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45010152 = 233211173343
BaseRepresentation
bin1010101110110…
…0110011101000
310010200202022200
42223230303220
543010311102
64244420200
71054402635
oct253546350
9103622280
1045010152
1123452880
12130a7660
13942c135
145d9918c
153e4151c
hex2aecce8

45010152 has 96 divisors (see below), whose sum is σ = 140849280. Its totient is φ = 12833280.

The previous prime is 45010151. The next prime is 45010177. The reversal of 45010152 is 25101054.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45010151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11793 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (1467180).

Almost surely, 245010152 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 45010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70424640).

45010152 is an abundant number, since it is smaller than the sum of its proper divisors (95839128).

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

45010152 is a wasteful number, since it uses less digits than its factorization.

45010152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 45010152 is about 6708.9605752307. The cubic root of 45010152 is about 355.7160762755.

The spelling of 45010152 in words is "forty-five million, ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3343 3366 4488 6686 6732 10029 13372 13464 20058 26744 30087 36773 40116 56831 60174 73546 80232 110319 113662 120348 147092 170493 220638 227324 240696 294184 330957 340986 441276 454648 511479 625141 661914 681972 882552 1022958 1250282 1323828 1363944 1875423 2045916 2500564 2647656 3750846 4091832 5001128 5626269 7501692 11252538 15003384 22505076 45010152