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73022464 = 210292459
BaseRepresentation
bin1000101101000…
…11110000000000
312002101220222201
410112203300000
5122143204324
611125042544
71544452324
oct426436000
9162356881
1073022464
1138245949
1220556454
1312189478
1499ab984
156626444
hex45a3c00

73022464 has 44 divisors (see below), whose sum is σ = 151068600. Its totient is φ = 35237888.

The previous prime is 73022461. The next prime is 73022503. The reversal of 73022464 is 46422037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73022461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28467 + ... + 30925.

Almost surely, 273022464 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 73022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75534300).

73022464 is an abundant number, since it is smaller than the sum of its proper divisors (78046136).

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

73022464 is a wasteful number, since it uses less digits than its factorization.

73022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 73022464 is about 8545.3182503638. The cubic root of 73022464 is about 417.9767849564.

The spelling of 73022464 in words is "seventy-three million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2459 3712 4918 7424 9836 14848 19672 29696 39344 71311 78688 142622 157376 285244 314752 570488 629504 1140976 1259008 2281952 2518016 4563904 9127808 18255616 36511232 73022464