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70450464 = 2537412557
BaseRepresentation
bin1000011001011…
…11110100100000
311220120020212110
410030233310200
5121013403324
610553555320
71513550640
oct414576440
9156506773
1070450464
1136849527
121b715b40
1311798886
1494dc520
1562b9329
hex432fd20

70450464 has 96 divisors (see below), whose sum is σ = 216590976. Its totient is φ = 19630080.

The previous prime is 70450463. The next prime is 70450477. The reversal of 70450464 is 46405407.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (70450463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26274 + ... + 28830.

It is an arithmetic number, because the mean of its divisors is an integer number (2256156).

Almost surely, 270450464 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 70450464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108295488).

70450464 is an abundant number, since it is smaller than the sum of its proper divisors (146140512).

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

70450464 is a wasteful number, since it uses less digits than its factorization.

70450464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 70450464 is about 8393.4774676531. The cubic root of 70450464 is about 413.0106835720.

The spelling of 70450464 in words is "seventy million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 2557 3444 3936 4592 5114 6888 7671 9184 10228 13776 15342 17899 20456 27552 30684 35798 40912 53697 61368 71596 81824 104837 107394 122736 143192 209674 214788 245472 286384 314511 419348 429576 572768 629022 733859 838696 859152 1258044 1467718 1677392 1718304 2201577 2516088 2935436 3354784 4403154 5032176 5870872 8806308 10064352 11741744 17612616 23483488 35225232 70450464