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381553872 = 24374127697
BaseRepresentation
bin10110101111100…
…000110011010000
3222120221221111220
4112233200303100
51240134210442
6101510005040
712312103650
oct2657406320
9876857456
10381553872
11186417087
12a7946780
136108352b
1438962360
152376ceec
hex16be0cd0

381553872 has 80 divisors (see below), whose sum is σ = 1154009472. Its totient is φ = 106352640.

The previous prime is 381553867. The next prime is 381553889. The reversal of 381553872 is 278355183.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 73 + ... + 27624.

Almost surely, 2381553872 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 381553872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577004736).

381553872 is an abundant number, since it is smaller than the sum of its proper divisors (772455600).

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

381553872 is a wasteful number, since it uses less digits than its factorization.

381553872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27756 (or 27750 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 381553872 is about 19533.4040044228. The cubic root of 381553872 is about 725.3015769539.

The spelling of 381553872 in words is "three hundred eighty-one million, five hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 27697 55394 83091 110788 166182 193879 221576 332364 387758 443152 581637 664728 775516 1135577 1163274 1329456 1551032 2271154 2326548 3102064 3406731 4542308 4653096 6813462 7949039 9084616 9306192 13626924 15898078 18169232 23847117 27253848 31796156 47694234 54507696 63592312 95388468 127184624 190776936 381553872