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424899972 = 223372174723
BaseRepresentation
bin11001010100110…
…111010110000100
31002121112011012000
4121110313112010
51332233244342
6110055025300
713346406300
oct3124672604
91077464160
10424899972
111a8932702
12ba36b230
136a04c103
1440606d00
152748144c
hex19537584

424899972 has 144 divisors (see below), whose sum is σ = 1357110720. Its totient is φ = 114234624.

The previous prime is 424899949. The next prime is 424899977. The reversal of 424899972 is 279998424.

424899972 is a `hidden beast` number, since 4 + 2 + 489 + 99 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424899977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87603 + ... + 92325.

It is an arithmetic number, because the mean of its divisors is an integer number (9424380).

Almost surely, 2424899972 is an apocalyptic number.

424899972 is a gapful number since it is divisible by the number (42) 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 424899972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678555360).

424899972 is an abundant number, since it is smaller than the sum of its proper divisors (932210748).

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

424899972 is a wasteful number, since it uses less digits than its factorization.

424899972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4752 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 424899972 is about 20613.1019499735. The cubic root of 424899972 is about 751.7883085476.

The spelling of 424899972 in words is "four hundred twenty-four million, eight hundred ninety-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 189 196 204 238 252 294 306 357 378 441 459 476 588 612 714 756 833 882 918 1071 1323 1428 1666 1764 1836 2142 2499 2646 3213 3332 4284 4723 4998 5292 6426 7497 9446 9996 12852 14169 14994 18892 22491 28338 29988 33061 42507 44982 56676 66122 80291 85014 89964 99183 127521 132244 160582 170028 198366 231427 240873 255042 297549 321164 396732 462854 481746 510084 562037 595098 694281 722619 892647 925708 963492 1124074 1190196 1388562 1445238 1686111 1785294 2082843 2167857 2248148 2777124 2890476 3372222 3570588 3934259 4165686 4335714 5058333 6248529 6744444 7868518 8331372 8671428 10116666 11802777 12497058 15174999 15737036 20233332 23605554 24994116 30349998 35408331 47211108 60699996 70816662 106224993 141633324 212449986 424899972