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423788232 = 23373779863
BaseRepresentation
bin11001010000100…
…111111011001000
31002112102200011110
4121100213323020
51331442210412
6110015130320
713334066130
oct3120477310
91075380143
10423788232
111a824340a
12b9b139a0
1369a5008a
14403d7ac0
1527311d3c
hex19427ec8

423788232 has 128 divisors (see below), whose sum is σ = 1260748800. Its totient is φ = 116183808.

The previous prime is 423788203. The next prime is 423788243. The reversal of 423788232 is 232887324.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490633 + ... + 491495.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2423788232 is an apocalyptic number.

423788232 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 423788232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630374400).

423788232 is an abundant number, since it is smaller than the sum of its proper divisors (836960568).

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

423788232 is a wasteful number, since it uses less digits than its factorization.

423788232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 423788232 is about 20586.1174581318. The cubic root of 423788232 is about 751.1320575124.

The spelling of 423788232 in words is "four hundred twenty-three million, seven hundred eighty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 79 84 111 148 158 168 222 237 259 296 316 444 474 518 553 632 777 863 888 948 1036 1106 1554 1659 1726 1896 2072 2212 2589 2923 3108 3318 3452 4424 5178 5846 6041 6216 6636 6904 8769 10356 11692 12082 13272 17538 18123 20461 20712 23384 24164 31931 35076 36246 40922 48328 61383 63862 68177 70152 72492 81844 95793 122766 127724 136354 144984 163688 191586 204531 223517 245532 255448 272708 383172 409062 447034 477239 491064 545416 670551 766344 818124 894068 954478 1341102 1431717 1636248 1788136 1908956 2522549 2682204 2863434 3817912 5045098 5364408 5726868 7567647 10090196 11453736 15135294 17657843 20180392 30270588 35315686 52973529 60541176 70631372 105947058 141262744 211894116 423788232