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745472676 = 22313191631543
BaseRepresentation
bin101100011011110…
…000001010100100
31220221201221021010
4230123300022210
53011320111201
6201550022220
724321261504
oct5433601244
91827657233
10745472676
11352888723
121897a7970
13bb5a0bc0
1471013a04
15456a5bd6
hex2c6f02a4

745472676 has 96 divisors (see below), whose sum is σ = 1985213440. Its totient is φ = 215830656.

The previous prime is 745472671. The next prime is 745472681. The reversal of 745472676 is 676274547.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (745472671) and next prime (745472681).

It is not an unprimeable number, because it can be changed into a prime (745472671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482361 + ... + 483903.

Almost surely, 2745472676 is an apocalyptic number.

745472676 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745472676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992606720).

745472676 is an abundant number, since it is smaller than the sum of its proper divisors (1239740764).

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

745472676 is a wasteful number, since it uses less digits than its factorization.

745472676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The square root of 745472676 is about 27303.3455092961. The cubic root of 745472676 is about 906.7284513716.

The spelling of 745472676 in words is "seven hundred forty-five million, four hundred seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 163 228 247 326 489 494 652 741 978 988 1482 1543 1956 2119 2964 3086 3097 4238 4629 6172 6194 6357 8476 9258 9291 12388 12714 18516 18582 20059 25428 29317 37164 40118 40261 58634 60177 80236 80522 87951 117268 120354 120783 161044 175902 240708 241566 251509 351804 381121 483132 503018 754527 762242 1006036 1143363 1509054 1524484 2286726 3018108 3269617 4573452 4778671 6539234 9557342 9808851 13078468 14336013 19114684 19617702 28672026 39235404 57344052 62122723 124245446 186368169 248490892 372736338 745472676