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73153056 = 2533147523
BaseRepresentation
bin1000101110000…
…11101000100000
312002122120010110
410113003220200
5122211344211
611131531320
71545535134
oct427035040
9162576113
1073153056
1138324a79
12205b9b40
1312203a42
149a033c4
15664eea6
hex45c3a20

73153056 has 96 divisors (see below), whose sum is σ = 202825728. Its totient is φ = 23051520.

The previous prime is 73153049. The next prime is 73153063. The reversal of 73153056 is 65035137.

It is an interprime number because it is at equal distance from previous prime (73153049) and next prime (73153063).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139611 + ... + 140133.

It is an arithmetic number, because the mean of its divisors is an integer number (2112768).

Almost surely, 273153056 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 73153056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101412864).

73153056 is an abundant number, since it is smaller than the sum of its proper divisors (129672672).

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

73153056 is a wasteful number, since it uses less digits than its factorization.

73153056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 73153056 is about 8552.9559802445. The cubic root of 73153056 is about 418.2258038398.

The spelling of 73153056 in words is "seventy-three million, one hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 496 523 564 744 752 992 1046 1128 1457 1488 1504 1569 2092 2256 2914 2976 3138 4184 4371 4512 5828 6276 8368 8742 11656 12552 16213 16736 17484 23312 24581 25104 32426 34968 46624 48639 49162 50208 64852 69936 73743 97278 98324 129704 139872 147486 194556 196648 259408 294972 389112 393296 518816 589944 762011 778224 786592 1179888 1524022 1556448 2286033 2359776 3048044 4572066 6096088 9144132 12192176 18288264 24384352 36576528 73153056