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1997957502 = 234193120939
BaseRepresentation
bin111011100010110…
…0110100101111110
312011020111202110000
41313011212211332
513042434120002
6530131055130
7100340233662
oct16705464576
95136452400
101997957502
11935882052
124791414a6
1325ac10798
1414d4c68a2
15ba60c61c
hex7716697e

1997957502 has 80 divisors (see below), whose sum is σ = 4864780800. Its totient is φ = 610552080.

The previous prime is 1997957501. The next prime is 1997957531. The reversal of 1997957502 is 2057597991.

1997957502 is a `hidden beast` number, since 19 + 9 + 79 + 57 + 502 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997957501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84949 + ... + 105887.

It is an arithmetic number, because the mean of its divisors is an integer number (60809760).

Almost surely, 21997957502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997957502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432390400).

1997957502 is an abundant number, since it is smaller than the sum of its proper divisors (2866823298).

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

1997957502 is a wasteful number, since it uses less digits than its factorization.

1997957502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21003 (or 20994 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 54.

The square root of 1997957502 is about 44698.5178948922. The cubic root of 1997957502 is about 1259.4920061041.

The spelling of 1997957502 in words is "one billion, nine hundred ninety-seven million, nine hundred fifty-seven thousand, five hundred two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 279 342 513 558 589 837 1026 1178 1539 1674 1767 2511 3078 3534 5022 5301 10602 15903 20939 31806 41878 47709 62817 95418 125634 188451 376902 397841 565353 649109 795682 1130706 1193523 1298218 1696059 1947327 2387046 3392118 3580569 3894654 5841981 7161138 10741707 11683962 12333071 17525943 21483414 24666142 32225121 35051886 36999213 52577829 64450242 73998426 105155658 110997639 221995278 332992917 665985834 998978751 1997957502