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745900672 = 27112331743
BaseRepresentation
bin101100011101011…
…000101010000000
31220222112200100211
4230131120222000
53011422310142
6202003123504
724325023346
oct5435305200
91828480324
10745900672
11353050240
12189973594
13bb6c095a
14710c5996
154573c917
hex2c758a80

745900672 has 128 divisors (see below), whose sum is σ = 1748459520. Its totient is φ = 313420800.

The previous prime is 745900637. The next prime is 745900679. The reversal of 745900672 is 276009547.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (745900679) 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, 1003533 + ... + 1004275.

It is an arithmetic number, because the mean of its divisors is an integer number (13659840).

Almost surely, 2745900672 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 745900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874229760).

745900672 is an abundant number, since it is smaller than the sum of its proper divisors (1002558848).

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

745900672 is a wasteful number, since it uses less digits than its factorization.

745900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 745900672 is about 27311.1821787340. The cubic root of 745900672 is about 906.9019439391.

The spelling of 745900672 in words is "seven hundred forty-five million, nine hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 64 88 92 124 128 176 184 248 253 341 352 368 496 506 682 704 713 736 743 992 1012 1364 1408 1426 1472 1486 1984 2024 2728 2852 2944 2972 3968 4048 5456 5704 5944 7843 8096 8173 10912 11408 11888 15686 16192 16346 17089 21824 22816 23033 23776 31372 32384 32692 34178 43648 45632 46066 47552 62744 65384 68356 91264 92132 95104 125488 130768 136712 184264 187979 250976 253363 261536 273424 368528 375958 501952 506726 523072 529759 546848 737056 751916 1003904 1013452 1046144 1059518 1093696 1474112 1503832 2026904 2119036 2187392 2948224 3007664 4053808 4238072 5827349 6015328 8107616 8476144 11654698 12030656 16215232 16952288 23309396 24061312 32430464 33904576 46618792 67809152 93237584 186475168 372950336 745900672