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1045422672 = 243731167601
BaseRepresentation
bin111110010011111…
…110001001010000
32200212010222022020
4332103332021100
54120112011142
6251423011440
734622642340
oct7623761120
92625128266
101045422672
11497128588
12252139b80
13138781cc8
149cbb2d20
1561ba4cec
hex3e4fe250

1045422672 has 160 divisors (see below), whose sum is σ = 3210461184. Its totient is φ = 286848000.

The previous prime is 1045422661. The next prime is 1045422683. The reversal of 1045422672 is 2762245401.

It is an interprime number because it is at equal distance from previous prime (1045422661) and next prime (1045422683).

It is a congruent number.

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, 1739172 + ... + 1739772.

Almost surely, 21045422672 is an apocalyptic number.

1045422672 is a gapful number since it is divisible by the number (12) 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 1045422672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605230592).

1045422672 is an abundant number, since it is smaller than the sum of its proper divisors (2165038512).

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

1045422672 is a wasteful number, since it uses less digits than its factorization.

1045422672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1045422672 is about 32332.9966442951. The cubic root of 1045422672 is about 1014.9172595483.

The spelling of 1045422672 in words is "one billion, forty-five million, four hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 167 168 186 217 248 334 336 372 434 496 501 601 651 668 744 868 1002 1169 1202 1302 1336 1488 1736 1803 2004 2338 2404 2604 2672 3472 3507 3606 4008 4207 4676 4808 5177 5208 7014 7212 8016 8414 9352 9616 10354 10416 12621 14028 14424 15531 16828 18631 18704 20708 25242 28056 28848 31062 33656 36239 37262 41416 50484 55893 56112 62124 67312 72478 74524 82832 100367 100968 108717 111786 124248 130417 144956 149048 200734 201936 217434 223572 248496 260834 289912 298096 301101 391251 401468 434868 447144 521668 579824 602202 702569 782502 802936 869736 894288 1043336 1204404 1405138 1565004 1605872 1739472 2086672 2107707 2408808 2810276 3111377 3130008 4215414 4817616 5620552 6222754 6260016 8430828 9334131 11241104 12445508 16861656 18668262 21779639 24891016 33723312 37336524 43559278 49782032 65338917 74673048 87118556 130677834 149346096 174237112 261355668 348474224 522711336 1045422672