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253153152 = 2732731393
BaseRepresentation
bin11110001011011…
…00111110000000
3122122100111211200
433011230332000
51004301400102
641041541200
76162523560
oct1705547600
9578314750
10253153152
1111a99778a
1270944800
13405a7985
142589ada0
151735851c
hexf16cf80

253153152 has 96 divisors (see below), whose sum is σ = 832568880. Its totient is φ = 72327168.

The previous prime is 253153141. The next prime is 253153163. The reversal of 253153152 is 251351352.

It is a happy number.

253153152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253153141) and next prime (253153163).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7633 + ... + 23760.

Almost surely, 2253153152 is an apocalyptic number.

It is an amenable number.

253153152 is an abundant number, since it is smaller than the sum of its proper divisors (579415728).

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

253153152 is a wasteful number, since it uses less digits than its factorization.

253153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31420 (or 31405 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 253153152 is about 15910.7872841038. The cubic root of 253153152 is about 632.5979492837.

The spelling of 253153152 in words is "two hundred fifty-three million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 31393 62786 94179 125572 188358 219751 251144 282537 376716 439502 502288 565074 659253 753432 879004 1004576 1130148 1318506 1506864 1758008 1977759 2009152 2260296 2637012 3013728 3516016 3955518 4018304 4520592 5274024 6027456 7032032 7911036 9041184 10548048 12054912 14064064 15822072 18082368 21096096 28128128 31644144 36164736 42192192 63288288 84384384 126576576 253153152