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121629488 = 2419537549
BaseRepresentation
bin1110011111111…
…10101100110000
322110212102021212
413033332230300
5222114120423
620022535252
73004555631
oct717765460
9273772255
10121629488
1162725042
1234897528
131c277816
1412221888
15aa28578
hex73feb30

121629488 has 40 divisors (see below), whose sum is σ = 252774000. Its totient is φ = 56519424.

The previous prime is 121629479. The next prime is 121629511. The reversal of 121629488 is 884926121.

It is a super-2 number, since 2×1216294882 = 29587464702284288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12338 + ... + 19886.

It is an arithmetic number, because the mean of its divisors is an integer number (6319350).

Almost surely, 2121629488 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 121629488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126387000).

121629488 is an abundant number, since it is smaller than the sum of its proper divisors (131144512).

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

121629488 is a wasteful number, since it uses less digits than its factorization.

121629488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7623 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 121629488 is about 11028.5759733521. The cubic root of 121629488 is about 495.4649754640.

The spelling of 121629488 in words is "one hundred twenty-one million, six hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 7549 8056 15098 16112 30196 60392 120784 143431 286862 400097 573724 800194 1147448 1600388 2294896 3200776 6401552 7601843 15203686 30407372 60814744 121629488