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742231476 = 2232713721499
BaseRepresentation
bin101100001111011…
…000110110110100
31220201122021011200
4230033120312310
53010002401401
6201352332500
724251602110
oct5417306664
91821567150
10742231476
11350a74548
121886a4130
13baa0782c
147080c740
1545265686
hex2c3d8db4

742231476 has 72 divisors (see below), whose sum is σ = 2159976000. Its totient is φ = 210508416.

The previous prime is 742231463. The next prime is 742231517. The reversal of 742231476 is 674132247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 742231476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23775 + ... + 45273.

Almost surely, 2742231476 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 742231476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079988000).

742231476 is an abundant number, since it is smaller than the sum of its proper divisors (1417744524).

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

742231476 is a wasteful number, since it uses less digits than its factorization.

742231476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21653 (or 21648 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 742231476 is about 27243.9254880790. The cubic root of 742231476 is about 905.4124371850.

The spelling of 742231476 in words is "seven hundred forty-two million, two hundred thirty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 8631 11508 17262 21499 34524 42998 64497 85996 128994 150493 193491 257988 300986 386982 451479 601972 773964 902958 1354437 1805916 2708874 2945363 5417748 5890726 8836089 11781452 17672178 20617541 26508267 35344356 41235082 53016534 61852623 82470164 106033068 123705246 185557869 247410492 371115738 742231476