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5246154240 = 29356771009
BaseRepresentation
bin1001110001011000…
…11111011000000000
3111112121120020200220
410320230133120000
541221003413430
62224323143040
7244001401215
oct47054373000
914477506626
105246154240
112252354368
121024b14a80
13657b559a2
1437aa59b0c
1520a87b110
hex138b1f600

5246154240 has 160 divisors (see below), whose sum is σ = 16812718560. Its totient is φ = 1395523584.

The previous prime is 5246154233. The next prime is 5246154281. The reversal of 5246154240 is 424516425.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 5198856 + ... + 5199864.

It is an arithmetic number, because the mean of its divisors is an integer number (105079491).

Almost surely, 25246154240 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 5246154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406359280).

5246154240 is an abundant number, since it is smaller than the sum of its proper divisors (11566564320).

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

5246154240 is a wasteful number, since it uses less digits than its factorization.

5246154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 5246154240 is about 72430.3406039210. The cubic root of 5246154240 is about 1737.5888389612.

The spelling of 5246154240 in words is "five billion, two hundred forty-six million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 677 768 960 1009 1280 1354 1536 1920 2018 2031 2560 2708 3027 3385 3840 4036 4062 5045 5416 6054 6770 7680 8072 8124 10090 10155 10832 12108 13540 15135 16144 16248 20180 20310 21664 24216 27080 30270 32288 32496 40360 40620 43328 48432 54160 60540 64576 64992 80720 81240 86656 96864 108320 121080 129152 129984 161440 162480 173312 193728 216640 242160 258304 259968 322880 324960 346624 387456 433280 484320 516608 519936 645760 649920 683093 774912 866560 968640 1039872 1291520 1299840 1366186 1549824 1733120 1937280 2049279 2583040 2599680 2732372 3415465 3874560 4098558 5199360 5464744 6830930 7749120 8197116 10246395 10929488 13661860 16394232 20492790 21858976 27323720 32788464 40985580 43717952 54647440 65576928 81971160 87435904 109294880 131153856 163942320 174871808 218589760 262307712 327884640 349743616 437179520 524615424 655769280 874359040 1049230848 1311538560 1748718080 2623077120 5246154240