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542044672 = 2913313771
BaseRepresentation
bin100000010011101…
…111001000000000
31101202221201111121
4200103233020000
52102230412142
6125441522024
716301206111
oct4023571000
91352851447
10542044672
11258a74204
12131643314
13883b64c0
1451dbc208
15328c0c67
hex204ef200

542044672 has 160 divisors (see below), whose sum is σ = 1253919744. Its totient is φ = 232243200.

The previous prime is 542044667. The next prime is 542044691. The reversal of 542044672 is 276440245.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7634397 + ... + 7634467.

Almost surely, 2542044672 is an apocalyptic number.

542044672 is a gapful number since it is divisible by the number (52) 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 542044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

542044672 is an abundant number, since it is smaller than the sum of its proper divisors (711875072).

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

542044672 is a wasteful number, since it uses less digits than its factorization.

542044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 542044672 is about 23281.8528472285. The cubic root of 542044672 is about 815.3517856048.

The spelling of 542044672 in words is "five hundred forty-two million, forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 37 52 62 64 71 74 104 124 128 142 148 208 248 256 284 296 403 416 481 496 512 568 592 806 832 923 962 992 1136 1147 1184 1612 1664 1846 1924 1984 2201 2272 2294 2368 2627 3224 3328 3692 3848 3968 4402 4544 4588 4736 5254 6448 6656 7384 7696 7936 8804 9088 9176 9472 10508 12896 14768 14911 15392 15872 17608 18176 18352 18944 21016 25792 28613 29536 29822 30784 34151 35216 36352 36704 42032 51584 57226 59072 59644 61568 68302 70432 73408 81437 84064 103168 114452 118144 119288 123136 136604 140864 146816 162874 168128 206336 228904 236288 238576 246272 273208 281728 293632 325748 336256 457808 472576 477152 546416 563456 587264 651496 672512 915616 954304 1058681 1092832 1126912 1302992 1345024 1831232 1908608 2117362 2185664 2605984 3662464 3817216 4234724 4371328 5211968 7324928 7634432 8469448 8742656 10423936 14649856 16938896 17485312 20847872 33877792 41695744 67755584 135511168 271022336 542044672